Since the writer had not noticed this characteristic in married students scattered throughout the various sections previous to this experiment, nor, as a matter of fact, in those who were continuing in `` single sections '', he can only conclude that there must have been something `` contagious '' within the specific group which caused this to occur.

Since the objection regards the words " Red " and " Juicy " as simply abstractions of previous experiences, it contends that they contain only a personal summary concept of one individual.

Since the end of the previous century Battlespace domination has been an open and variously reported policy of the U. S. Department of defense and U. S. Administrations stated and restated in various Quadrennial Reports, force posture statements, etc.

Since Id Software and some of its licencees released the source code for some of their previous games, several games which were not ported ( such as Wolfenstein 3D, Spear of Destiny, Heretic, Hexen, Hexen II, and Strife ) can run on Linux and other operating systems through the use of source ports.

Since the previous census in 2000 the country's population decreased by 309 thousand or 13 %.

Buddhist ( and Hindu ) temples were Mandala shaped, they are oriented according to the four cardinal points, the main gate being towards the east. Since building space and materials were scarce, Maldivians constructed their places of worship on the foundations of previous buildings.

Since the Saints ' only previous playoff win was in the wild card round, this was the farthest the Saints had ever advanced at the time.

Since all the previous LO routes were operated by National Rail franchise Silverlink until November 2007, they have continued to be shown in the National Rail timetable and are still considered to be a part of National Rail.

Since has a simple pole at and stays analytic, the left hand side in the previous inequality tends to, a contradiction.

Since the 1980s, South Korea, now in possession of more modern military technology than in previous generations, has actively began shifting its defense industry's areas of interest more from its previously homeland defense-oriented militarization efforts, to the promotion of military equipments and technology as mainstream products of exportation to boost its international trade.

Since the world was viewed as real, not illusory, this doctrine was a significant innovation over and against previous Indian philosophies, which tended to picture the Divine as absolutely transcendent and / or the world as illusion.

Since no athletes ' village existed from the previous Games, the athletes and officials were housed in hotels around the city.

Since the 1960s, many of these schools have become defunct as a result of financial difficulties stemming from parents ' decreased interest in paying for such an education for their daughters, and changing societal norms making it easier for daughters to pursue academic and professional paths not open to previous generations.

Since all the local authorities denied him any help and most of the military orders denied him any help, and being the crusading army a meagre force, Frederick negotiated along the lines of a previous agreement he had intended to broker with the Ayyubid sultan, Al-Kamil.

Since the afternoon paper was put together the previous evening, the night city editor was the key news editor.

Since transmission of a single character may take a long time relative to CPU speeds, the UART will maintain a flag showing busy status so that the host system does not deposit a new character for transmission until the previous one has been completed ; this may also be done with an interrupt.

Since Windows NT 3. 1 was designed for more rigorous ( enterprise-class ) use than previous versions of Windows, it included support for HPFS ( and NTFS ) giving it a larger storage capacity than FAT filesystems.

Since the actual town only has a footprint of a tenth of a square mile ( 0. 1 miles ), an attorney representing residents and businesses in the proposed annexation area who opposed being a part of such a troubled town found that previous land annexations were void due to the proper paperwork having never been filed.

The researchers note, " Since previous reports have indicated that unique responses were observed at higher frequency in the artistic population than in the nonartistic normal population, this positive correlation suggests that amygdalar enlargement in the normal population might be related to creative mental activity.

Since it was unusual for popular musicians to be appointed as MBEs, a number of previous recipients complained and protested.

Since the wavenumber k, is the inverse of wavelength ( k = 1 / λ ) the previous equation can be rewritten as

Since the previous GeForce 256 line shipped without a budget variant, the RIVA TNT2 series was left to fill the " low-end " role — albeit with a comparably obsolete feature set.

Since the start in 1981 each successive wave has covered a broader range of societies than the previous one.

Since the end of the Paleolithic period, several foods that humans rarely or never consumed during previous stages of their evolution have been introduced as staples in their diet.

Since we require the process to be adiabatic, the following equation needs to be true

Since this is a second-order differential equation, there must be two linearly independent solutions.

Since the separation of variables in this case involves dividing by y, we must check if the constant function y = 0 is a solution of the original equation.

Since the firearm is also a variable in the accuracy equation, careful tuning of the load to a particular firearm can yield significant

Since the left-hand side of this equation is a series of non-negative numbers, and that it converges to

Since E < sub > 2 </ sub >-E < sub > 1 </ sub > ≫ kT, it follows that the argument of the exponential in the equation above is a large negative number, and as such N < sub > 2 </ sub >/ N < sub > 1 </ sub > is vanishingly small ; i. e., there are almost no atoms in the excited state.

Since the Laplace operator appears in the heat equation, one physical interpretation of this problem is as follows: fix the temperature on the boundary of the domain according to the given specification of the boundary condition.

Since E and P are defined separately, this equation can be used to define D. The physical interpretation of D is not as clear as E ( effectively the field applied to the material ) or P ( induced field due to the dipoles in the material ), but still serves as a convenient mathematical simplification, since Maxwell's equations can be simplified in terms of free charges and currents.

Since temperature in principle also depends on altitude, one needs a second equation to determine the pressure as a function of height, as discussed in the next section.

Since the heat exchanged is related to the entropy change by, the equation governing the temperature as a function of height for a thoroughly mixed atmosphere is

Since the frequency range of the typical noise experiment ( e. g. 1 Hz – 1 kHz ) is low compared with typical microscopic " attempt frequencies " ( e. g. 10 < sup > 14 </ sup > Hz ), the exponential factors in the Arrhenius equation for the rates are large.

Since these satisfy the Schrödinger equation-the solutions to Schrödinger's equation for a given situation will not only be the plane waves used to obtain it, but any wavefunctions which satisfy the Schrödinger's equation prescribed by the system, in addition to the relevant boundary conditions.

( Since activity coefficients tend to unity at low concentrations, activities in the Nernst equation are frequently replaced by simple concentrations.

Since we could have put any real numbers in place of 2, 1, and 3 above, and still have obtained a true equation, we say that multiplication of real numbers distributes over addition of real numbers.

Since the 1970s, the equation has been changed to introduce the role of inflationary expectations ( or the expected inflation rate, gP < sup > ex </ sup >).

Since velocity changes instantly in this formalism, the Wiener equation is not suitable for short time scales.

Since equations ( 1 ) through ( 4 ) above cannot be satisfied simultaneously when the hidden variable, λ, takes the same value in each equation, GHSZ proceed by allowing λ to take different values in each equation.

Since an nth degree polynomial equation can only have n distinct roots, this implies that the powers of a primitive root z, z < sup > 2 </ sup >, ... z < sup > n − 1 </ sup >, z < sup > n </ sup >

Since the gas and liquid volumes are functions of < i > P < sub > V </ sub ></ i > and T only, this equation is then solved numerically to obtain < i > P < sub > V </ sub ></ i > as a function of temperature ( and number of particles N ), which may then be used to determine the gas and liquid volumes.

Since all reference to imaginary numbers has been eliminated from this equation, it can be applied to fields that are real valued as well as those that have complex values.

Since momentum of a body is defined as its mass multiplied by its velocity, we can rewrite the above equation as: